Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	65×	body	640	valid
4.0ms	136×	body	80	valid
3.0ms	39×	body	320	valid
1.0ms	17×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `frac-sub` `flip-+` `flip--`

Counts

2 → 58

Calls

2 calls:

11.0ms	(/ 1.0 (+ x 1.0))
70.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series139.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1.0 (+ x 1.0))
100.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify552.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1127
1	286
0	120

prune215.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ x 1.0))
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
2.4b	(- x (+ x 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
6×	`associate-*r/`
5×	`pow1` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-r`
3×	`associate-l`
2×	`flip3-+` `flip3--` `diff-log` `associate-/r/` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

16.0ms	(* x (+ x 1.0))
39.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
24.0ms	(- x (+ x 1.0))

series110.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* x (+ x 1.0))
39.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
8.0ms	(- x (+ x 1.0))

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	2821
1	388
0	119

prune265.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ x (- 0 1.0)) (/ (+ 1.0 x) 1.0))
0.1b	(/ 1 (* (/ x (- 0 1.0)) (/ (+ 1.0 x) 1.0)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
39×	`add-sqr-sqrt`
34×	`times-frac`
33×	`*-un-lft-identity`
32×	`add-cbrt-cube`
26×	`div-exp`
21×	`associate-l` `add-cube-cbrt`
16×	`associate-r` `prod-exp`
13×	`cbrt-undiv`
8×	`cbrt-unprod`
7×	`pow1`
5×	`rec-exp` `1-exp` `associate-/r/`
4×	`unswap-sqr`
3×	`div-inv` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `pow-flip` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3--` `-commutative` `flip--` `inv-pow`

Counts

2 → 104

Calls

2 calls:

59.0ms	(* (/ x (- 0 1.0)) (/ (+ 1.0 x) 1.0))
58.0ms	(/ 1 (* (/ x (- 0 1.0)) (/ (+ 1.0 x) 1.0)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (/ x (- 0 1.0)) (/ (+ 1.0 x) 1.0))
50.0ms	(/ 1 (* (/ x (- 0 1.0)) (/ (+ 1.0 x) 1.0)))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	3559
1	615
0	195

prune381.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ 1.0 x))
0.1b	(/ (/ 1 (+ 1.0 x)) x)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
15×	`add-exp-log`
10×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

2 → 129

Calls

2 calls:

19.0ms	(/ 1 (+ 1.0 x))
36.0ms	(/ (/ 1 (+ 1.0 x)) x)

series86.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 1 (+ 1.0 x))
58.0ms	(/ (/ 1 (+ 1.0 x)) x)

simplify1.2s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	2476
1	482
0	196

prune443.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample967.0ms

Algorithm

intervals

Results

289.0ms	1885×	body	640	valid
283.0ms	4267×	body	80	valid
168.0ms	1247×	body	320	valid
43.0ms	602×	body	160	valid